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Finding the Fourth Proportional to 573.49, 859.04 and 475.76

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Solution

The fourth proportional to 573.49, 859.04 and 475.76 is: 712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.49 : 859.04 = 475.76 : x
  2. Step 2: Convert to fraction form
    573.49/859.04 = 475.76/x
  3. Step 3: Cross multiply
    573.49x = 859.04 × 475.76
  4. Step 4: Simplify right side
    573.49x = 408,698.42
  5. Step 5: Solve for x
    x = 408,698.42/573.49
  6. Step 6: Final answer
    x = 712.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.